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What is the Least Common Multiple of 9258 and 9266?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 9258 and 9266 is 42892314.

LCM(9258,9266) = 42892314

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Least Common Multiple of 9258 and 9266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9258 and 9266, than apply into the LCM equation.

GCF(9258,9266) = 2
LCM(9258,9266) = ( 9258 × 9266) / 2
LCM(9258,9266) = 85784628 / 2
LCM(9258,9266) = 42892314

Least Common Multiple (LCM) of 9258 and 9266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9258 and 9266. First we will calculate the prime factors of 9258 and 9266.

Prime Factorization of 9258

Prime factors of 9258 are 2, 3, 1543. Prime factorization of 9258 in exponential form is:

9258 = 21 × 31 × 15431

Prime Factorization of 9266

Prime factors of 9266 are 2, 41, 113. Prime factorization of 9266 in exponential form is:

9266 = 21 × 411 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9258 and 9266.

LCM(9258,9266) = 21 × 31 × 15431 × 411 × 1131
LCM(9258,9266) = 42892314